Question

If secx = -2, then in which quadrants do the solutions lie?

A. I, II
B. I, III
C. II, III
D. III, IV

Answer 1

ANSWER

C. II, III

EXPLANATION

The secant ratio is negative in the second and third quadrants but positive in the first and fourth quadrants.

The given secant ratio is

$\sec(x) = - 2 = - \frac{2}{1}$

Since the secant ratio is negative, its solution must lie in the third and second quadrant.

The correct answer is C